Write a Python code to calculate the following formulas, when $x=[1,2,3,4,5]$ :

$($Define a function to calculate them below$)$

formula to calculate mean

$\stackrel{}{x}=\frac{1}{n}{\displaystyle \underset{i=1}{\overset{n}{}}}{x}_i$

formula to estimate sample standard deviation

$=\sqrt[\phantom{2}]{\frac{1*}{n-1}{\displaystyle \underset{i=1}{\overset{n}{}}}(x_i-(\stackrel{}{x}){)}^2}$

formula to calculate sample SD variance

${}^2=\frac{1}{n-1}{\displaystyle \underset{i=1}{\overset{n}{}}}(x_i-(\stackrel{}{x}){)}^2$

Lillian Fok is president of Lakefront Manufacturing, a producer of bicycle tires. Fok makes $1,200$ tires per day with the following resourc

Labor:

$425$ hours per day @ $$12\mathrm{.}50$ per hour

Raw Material:

Energy:

$20,000$ pounds per day @ $$1\mathrm{.}00$ per pound

Capital:

$$5,000$ per day

$$10,000$ per day

b$)$ Multifactor productivity for these tires $=$

tires$/$dollar $($round your response to four decimal places$).$